几何造型技术在轮胎径向振动分析中的应用

Application of Geometry Construction Technique in Radial Vibration Analysis of a Radial Tire

提出了适用于充气轮胎结构非线性分析的分片 Rayleigh- Ritz法 ,并进一步求解了子午线轮胎的固有频率和模态。在求解方法上将分片 Rayleigh- Ritz法同几何造型中广泛采用的 Bezier多项式有机地结合起来。将轮胎模型进行几何意义的分片 ,并采用 Bezier参数曲面来描述轮胎参考面的形状和轮胎参考面位移场的 Ritz试解函数。计算了 P195 / 6 0 R14型轮胎的径向振动的固有频率和模态 ,结果表明分片 Rayleigh-

A piece wise Rayleigh Ritz technique suitable for nonlinear analysis of pneumatic tires was proposed. In the solving procedure, the Rayleigh Ritz method was used in association with the application of Bezier polynomials that are widely used in graphical modeling of free surfaces. Bezier polynomials were employed to approximate both the geometry of the reference surface and displacement fields of the tires in piece wise manner. Natural frequencies and modes of radial vibrations of a P195/60R14 tire were analyzed by the piece wise Rayleigh Ritz technique and FEM respectively. It demonstrated that the piece wise Rayleigh Ritz technique was more accurate and better convergent than the usual finite element methods.